Results 11 to 20 of about 630,752 (343)
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring [PDF]
We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has $U_q(SU(3))$ symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent from the finite-size ...
Wehefritz-Kaufmann, Birgit
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Many physical processes result in very uneven, apparently random, distributions of matter, characterized by fluctuations of the local density over orders of magnitude. The density of matter in the sparsest regions can have a power-law distribution, with an exponent that we term the lacunarity exponent.
Michael Wilkinson +3 more
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Recurrence and Lyapunov Exponents [PDF]
We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
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Combinatorics of Generalized Exponents [PDF]
Abstract We give a purely combinatorial proof of the positivity of the stabilized forms of the generalized exponents associated to each classical root system. In finite type $A_{n-1}$, we rederive the description of the generalized exponents in terms of crystal graphs without using the combinatorics of semistandard tableaux or the charge
Lecouvey, Cédric, Lenart, Cristian
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Background Air ions are molecules of air that have become ionized—that is, they have either lost or gained an electrical charge. Past speculation has suggested that exposure to positive air ions may be harmful to one’s health, while exposure to negative ...
William H. Bailey +2 more
doaj +1 more source
An engineering judgment is often used to determine the exponent of the verification formula for combined stresses applied to moment‐resisting joints using drift‐pins. In this study, the exponent was determined based on a mechanical model.
Ryuki Odani +2 more
doaj +1 more source
Decay of distance autocorrelation and Lyapunov exponents [PDF]
This work presents numerical evidences that for discrete dynamical systems with one positive Lyapunov exponent the decay of the distance autocorrelation is always related to the Lyapunov exponent.
Beims, M. W. +2 more
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The dynamic exponent of the Ising model on negatively curved surfaces [PDF]
We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the ...
Binder K +16 more
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Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9
8 ...
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The Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model [PDF]
We present simulations of the 1-dimensional Oslo rice pile model in which the critical height at each site is randomly reset after each toppling. We use the fact that the stationary state of this sandpile model is hyperuniform to reach system of sizes $>
Dhar, Deepak +2 more
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